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What is the Least Common Multiple of 1210 and 1216?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 1210 and 1216 is 735680.

LCM(1210,1216) = 735680

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Least Common Multiple of 1210 and 1216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1210 and 1216, than apply into the LCM equation.

GCF(1210,1216) = 2
LCM(1210,1216) = ( 1210 × 1216) / 2
LCM(1210,1216) = 1471360 / 2
LCM(1210,1216) = 735680

Least Common Multiple (LCM) of 1210 and 1216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1210 and 1216. First we will calculate the prime factors of 1210 and 1216.

Prime Factorization of 1210

Prime factors of 1210 are 2, 5, 11. Prime factorization of 1210 in exponential form is:

1210 = 21 × 51 × 112

Prime Factorization of 1216

Prime factors of 1216 are 2, 19. Prime factorization of 1216 in exponential form is:

1216 = 26 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 1210 and 1216.

LCM(1210,1216) = 26 × 51 × 112 × 191
LCM(1210,1216) = 735680